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Finding the Fourth Proportional to 11,131.38, 15,360.39 and 6,415.98

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Solution

The fourth proportional to 11,131.38, 15,360.39 and 6,415.98 is: 8,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.38 : 15,360.39 = 6,415.98 : x
  2. Step 2: Convert to fraction form
    11,131.38/15,360.39 = 6,415.98/x
  3. Step 3: Cross multiply
    11,131.38x = 15,360.39 × 6,415.98
  4. Step 4: Simplify right side
    11,131.38x = 98,551,955.03
  5. Step 5: Solve for x
    x = 98,551,955.03/11,131.38
  6. Step 6: Final answer
    x = 8,853.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.